EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
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Chapter 10.3, Problem 85P
To determine
Find the largest centric live load.
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WITH DESCRIPTION AND STEPS APPLIED, TO HELP ME UNDERSTAND APPROPRIATELY
SA steel tube of 80-mm outer diameter is to carry a 93-kN load P
with an eccentricity of 20 mm. The tubes available for use are made
with wall thicknesses in increments of 3 mm from 6 mm to 15 mm.
Using the allowable-stress method, determine the lightest tube that
can be used. ASsume E = 200 GPa and øy = 250 MPa.
A compression member of 1.5-m effective
length consists of a solid 30-mm-diameter brass
rod. In order to reduce the weight of the
member by 25%, the solid rod is replaced by a
hollow rod of the cross section shown.
15 mm
Determine (a) the percent reduction in the
critical load, (b) the value of the critical load for
the hollow rod. Use E = 200 GPa.
30 mm
30 mm
Chapter 10 Solutions
EBK MECHANICS OF MATERIALS
Ch. 10.1 - Knowing that the spring at A is of constant k and...Ch. 10.1 - Two rigid bars AC and BC are connected by a pin at...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - 10.3 and 10.4 Two rigid bars AC and BC are...Ch. 10.1 - The steel rod BC is attached to the rigid bar AB...Ch. 10.1 - The rigid rod AB is attached to a hinge at A and...Ch. 10.1 - The rigid bar AD is attached to two springs of...Ch. 10.1 - A frame consists of four L-shaped members...Ch. 10.1 - Determine the critical load of a pin-ended steel...Ch. 10.1 - Determine the critical load of a pin-ended wooden...
Ch. 10.1 - A column of effective length L can be made by...Ch. 10.1 - A compression member of 1.5-m effective length...Ch. 10.1 - Determine the radius of the round strut so that...Ch. 10.1 - Determine (a) the critical load for the square...Ch. 10.1 - A column with the cross section shown has a...Ch. 10.1 - A column is made from half of a W360 216...Ch. 10.1 - A column of 22-ft effective length is made by...Ch. 10.1 - A single compression member of 8.2-m effective...Ch. 10.1 - Knowing that P = 5.2 kN, determine the factor of...Ch. 10.1 - Members AB and CD are 30-mm-diameter steel rods,...Ch. 10.1 - The uniform brass bar AB has a rectangular cross...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - A 1-in.-square aluminum strut is maintained in the...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column ABC has a uniform rectangular cross section...Ch. 10.1 - Column AB carries a centric load P of magnitude 15...Ch. 10.1 - Each of the five struts shown consists of a solid...Ch. 10.1 - A rigid block of mass m can be supported in each...Ch. 10.2 - An axial load P = 15 kN is applied at point D that...Ch. 10.2 - An axial load P is applied to the 32-mm-diameter...Ch. 10.2 - The line of action of the 310-kN axial load is...Ch. 10.2 - Prob. 32PCh. 10.2 - An axial load P is applied to the 32-mm-square...Ch. 10.2 - Prob. 34PCh. 10.2 - Prob. 35PCh. 10.2 - Prob. 36PCh. 10.2 - Solve Prob. 10.36, assuming that the axial load P...Ch. 10.2 - The line of action of the axial load P is parallel...Ch. 10.2 - Prob. 39PCh. 10.2 - Prob. 40PCh. 10.2 - The steel bar AB has a 3838-in. square cross...Ch. 10.2 - For the bar of Prob. 10.41, determine the required...Ch. 10.2 - A 3.5-m-long steel tube having the cross section...Ch. 10.2 - Prob. 44PCh. 10.2 - An axial load P is applied to the W8 28...Ch. 10.2 - Prob. 46PCh. 10.2 - A 100-kN axial load P is applied to the W150 18...Ch. 10.2 - A 26-kip axial load P is applied to a W6 12...Ch. 10.2 - Prob. 49PCh. 10.2 - Axial loads of magnitude P = 84 kN are applied...Ch. 10.2 - An axial load of magnitude P = 220 kN is applied...Ch. 10.2 - Prob. 52PCh. 10.2 - Prob. 53PCh. 10.2 - Prob. 54PCh. 10.2 - Axial loads of magnitude P = 175 kN are applied...Ch. 10.2 - Prob. 56PCh. 10.3 - Using allowable stress design, determine the...Ch. 10.3 - Prob. 58PCh. 10.3 - Prob. 59PCh. 10.3 - A column having a 3.5-m effective length is made...Ch. 10.3 - Prob. 61PCh. 10.3 - Bar AB is free at its end A and fixed at its base...Ch. 10.3 - Prob. 63PCh. 10.3 - Prob. 64PCh. 10.3 - A compression member of 8.2-ft effective length is...Ch. 10.3 - A compression member of 9-m effective length is...Ch. 10.3 - A column of 6.4-m effective length is obtained by...Ch. 10.3 - A column of 21-ft effective length is obtained by...Ch. 10.3 - Prob. 69PCh. 10.3 - Prob. 70PCh. 10.3 - Prob. 71PCh. 10.3 - Prob. 72PCh. 10.3 - Prob. 73PCh. 10.3 - For a rod made of aluminum alloy 2014-T6, select...Ch. 10.3 - Prob. 75PCh. 10.3 - Prob. 76PCh. 10.3 - A column of 4.6-m effective length must carry a...Ch. 10.3 - A column of 22.5-ft effective length must carry a...Ch. 10.3 - Prob. 79PCh. 10.3 - A centric load P must be supported by the steel...Ch. 10.3 - A square steel tube having the cross section shown...Ch. 10.3 - Prob. 82PCh. 10.3 - Prob. 83PCh. 10.3 - Two 89 64-mm angles are bolted together as shown...Ch. 10.3 - Prob. 85PCh. 10.3 - Prob. 86PCh. 10.3 - Prob. 87PCh. 10.3 - Prob. 88PCh. 10.4 - An eccentric load is applied at a point 22 mm from...Ch. 10.4 - Prob. 90PCh. 10.4 - Prob. 91PCh. 10.4 - Solve Prob. 10.91 using the interaction method and...Ch. 10.4 - A column of 5.5-m effective length is made of the...Ch. 10.4 - Prob. 94PCh. 10.4 - A steel compression member of 9-ft effective...Ch. 10.4 - Prob. 96PCh. 10.4 - Two L4 3 38-in. steel angles are welded together...Ch. 10.4 - Solve Prob. 10.97 using the interaction method...Ch. 10.4 - A rectangular column is made of a grade of sawn...Ch. 10.4 - Prob. 100PCh. 10.4 - Prob. 101PCh. 10.4 - Prob. 102PCh. 10.4 - Prob. 103PCh. 10.4 - Prob. 104PCh. 10.4 - A steel tube of 80-mm outer diameter is to carry a...Ch. 10.4 - Prob. 106PCh. 10.4 - Prob. 107PCh. 10.4 - Prob. 108PCh. 10.4 - Prob. 109PCh. 10.4 - Prob. 110PCh. 10.4 - Prob. 111PCh. 10.4 - Prob. 112PCh. 10.4 - Prob. 113PCh. 10.4 - Prob. 114PCh. 10.4 - Prob. 115PCh. 10.4 - A steel column of 7.2-m effective length is to...Ch. 10 - Determine (a) the critical load for the steel...Ch. 10 - Prob. 118RPCh. 10 - Prob. 119RPCh. 10 - (a) Considering only buckling in the plane of the...Ch. 10 - Member AB consists of a single C130 3 10.4 steel...Ch. 10 - The line of action of the 75-kip axial load is...Ch. 10 - Prob. 123RPCh. 10 - Prob. 124RPCh. 10 - A rectangular column with a 4.4-m effective length...Ch. 10 - Prob. 126RPCh. 10 - Prob. 127RPCh. 10 - Prob. 128RP
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- A column with the cross section shown has a 13.5-ft effective length. Using a factor of safety equal to 3, determine the allowable centric load that can be applied to the column. Use E= 29 × 106 psi. (Round the final answer to one decimal place.) in.- 6 in. 10 in. in. in. The allowable centric load that can be applied to the column is kips.arrow_forwardA steel column of 19-ft effective length must carry a centric load of 338 kips. Using Allowable Stress Design, select the wide-flange shape of 12-in. nominal depth that should be used. Use σY = 50 ksi and E = 29 × 106 psi. The wide-flange shape used is W12 × .arrow_forwardA uniformly-distributed load w is supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 15-mm- diameter stainless steel rods that have an elastic modulus of E= 191 GPa. Rod (3) is a 21-mm-diameter bronze rod that has an elastic modulus of E= 100 GPa. Use a = 1.6 m and L = 3.2 m. For a load magnitude of w= 32 kN/m, calculate (a) the normal stress in each rod. (b) the vertical deflection of the rigid bar at F. (1) B Answers: (a) σ₁ = i (b) VF= i D Save for Later (2) eTextbook and Media 2a W E MPa, σ₂ = i mm MPa, and σ3 = i Attempts: 0 of 5 used MPa Submit Answerarrow_forward
- Show all work and unitsarrow_forwardA rigid bar ABCDE is hinged at end A and supported by three cables at points B and C and D Cable C has a nominal diameter of 12 mm and an area of 76.7 mm2, and an ultimate load of 102 KN. Cable B and D has a diameter of 20mm and an effective area of 173 mm2, and an ultimate load of 231 Kn. The cables have an effective modulus of elasticity 140 GPa and a thermal expansion coefficient of = 12 x 10-6 / ºC. A charge P acts at the end E of the bar. a) What is the allowable load P if the temperature increases by 60ºC and a safety factor of at least 5 is required against your ultimate charge? b) Determine the displacement of point E on the bar.arrow_forwardRigid member AB is supported by hinge support at A and a 12-mm-diameter wire BC at B as shown. The diameter of the pin at A is 10 mm, thickness of member AB is 20 mm, and the thickness of each bracket of support A is 15 mm. Use a factor of safety FS= 2 and following failure stresses to determine the maximum load w (kN/m) the member can support. For wire BC: G=350 MPa Pin at A: Ta=200 MPa Support brackets: (Gharn n=150 MPa d-12 -35m 3m 20 mm smm Member AB- 10 mm Support Bracket- Support Bracket Conection detail at EpetAarrow_forward
- Each of the two vertical links CF connecting the two horizontal members AD and EG has a 10x40-mm uniform rectangular cross section and is made of a steel with an ultimate strength in tension of 400 MPa,while each of the pins at C and F has a 20-mm diameter and is made of a steel with an ultimate strength in shear of 150 MPa. Determine the overall factor of safety for the links CF and the pins connecting them to the horizontal members.arrow_forward(a) Considering only buckling in the plane of the structure shown and using Euler’s formula, determine the value of θbetween 0 and 90° for which the allowable magnitude of the load P is maximum. (b) Determine the corresponding maximum value of P knowing that a factor of safety of 3.2 is required. Use E= 29 x 106 psi.arrow_forwardA column of 22.5-ft effective length must carry a centric load of 288 kips. Using allowable stress design, select the wide-flange shape of 14-in. nominal depth that should be used. Use σY= 50 ksi and E= 29 x 106 psiarrow_forward
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